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Finding the Third Proportional to 364,044 and 796,056

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Solution

The third proportional to 364,044 and 796,056 is: 1,740,737.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,044 : 796,056 = 796,056 : x
  2. Step 2: Convert to fraction form
    364,044/796,056 = 796,056/x
  3. Step 3: Cross multiply
    364,044x = 796,056 × 796,056
  4. Step 4: Simplify right side
    364,044x = 633,705,155,136
  5. Step 5: Solve for x
    x = 633,705,155,136/364,044
  6. Step 6: Final answer
    x = 1,740,737.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.